35121441205040 has 40 divisors (see below), whose sum is σ = 81705131898480. Its totient is φ = 14040356078336.

The previous prime is 35121441205031. The next prime is 35121441205061. The reversal of 35121441205040 is 4050214412153.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 35121441204988 and 35121441205006.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128306234 + ... + 128579673.

It is an arithmetic number, because the mean of its divisors is an integer number (2042628297462).

Almost surely, 2^{35121441205040} is an apocalyptic number.

It is an amenable number.

35121441205040 is an abundant number, since it is smaller than the sum of its proper divisors (46583690693440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

35121441205040 is a wasteful number, since it uses less digits than its factorization.

35121441205040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256887629 (or 256887623 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 35121441205040 its reverse (4050214412153), we get a palindrome (39171655617193).

The spelling of 35121441205040 in words is "thirty-five trillion, one hundred twenty-one billion, four hundred forty-one million, two hundred five thousand, forty".